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Finding the Fourth Proportional to 13,430.16, 18,535.68 and 7,841.04

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Solution

The fourth proportional to 13,430.16, 18,535.68 and 7,841.04 is: 10,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.16 : 18,535.68 = 7,841.04 : x
  2. Step 2: Convert to fraction form
    13,430.16/18,535.68 = 7,841.04/x
  3. Step 3: Cross multiply
    13,430.16x = 18,535.68 × 7,841.04
  4. Step 4: Simplify right side
    13,430.16x = 145,339,008.31
  5. Step 5: Solve for x
    x = 145,339,008.31/13,430.16
  6. Step 6: Final answer
    x = 10,821.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.